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232440000020 = 22597320937337
BaseRepresentation
bin1101100001111010000…
…0001110111000010100
3211012222010212102122122
43120132200032320110
512302014120000040
6254440443515112
722536036254354
oct3303640167024
9735863772578
10232440000020
118a639358378
123906b828a98
1318bc4066767
14b3705dcb64
1560a63c61b5
hex361e80ee14

232440000020 has 48 divisors (see below), whose sum is σ = 493323097680. Its totient is φ = 91986345984.

The previous prime is 232439999993. The next prime is 232440000049. The reversal of 232440000020 is 20000044232.

It can be written as a sum of positive squares in 8 ways, for example, as 73582084 + 232366417936 = 8578^2 + 482044^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6206792 + ... + 6244128.

It is an arithmetic number, because the mean of its divisors is an integer number (10277564535).

Almost surely, 2232440000020 is an apocalyptic number.

232440000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232440000020 is an abundant number, since it is smaller than the sum of its proper divisors (260883097660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232440000020 is a wasteful number, since it uses less digits than its factorization.

232440000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40652 (or 40650 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 232440000020 its reverse (20000044232), we get a palindrome (252440044252).

The spelling of 232440000020 in words is "two hundred thirty-two billion, four hundred forty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 3209 6418 12836 16045 32090 37337 64180 74674 149348 186685 311273 373370 622546 746740 1245092 1556365 3112730 3621689 6225460 7243378 14486756 18108445 36216890 72433780 119814433 239628866 479257732 599072165 1198144330 2396288660 11622000001 23244000002 46488000004 58110000005 116220000010 232440000020